Open AccessThickness of the subgroup intersection graph of a finite group
Author(s) -
Huadong Su,
Ling Zhu
Publication year - 2020
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021157
Subject(s) - combinatorics , mathematics , abelian group , intersection (aeronautics) , graph , intersection graph , finite group , discrete mathematics , group (periodic table) , physics , line graph , geography , cartography , quantum mechanics
Let $ G $ be a finite group. The intersection graph of subgroups of $ G $ is a graph whose vertices are all non-trivial subgroups of $ G $ and in which two distinct vertices $ H $ and $ K $ are adjacent if and only if $ H\cap K\neq 1 $. In this paper, we classify all finite abelian groups whose thickness and outerthickness of subgroup intersection graphs are 1 and 2, respectively. We also investigate the thickness and outerthickness of subgroup intersection graphs for some finite non-abelian groups.